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1 answer:
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The equation that matches the given table is
y = 10x + 40
Solution:
General equation of a line : y = mx + c
Let us find the equation of the table.
<u>Common differences of X: </u>
0 – 1 = 1, 1 – 2 = 1, 3 – 2 = 1, 4 – 3 = 1, 5 – 4 = 1
<u>Common differences of Y: </u>
50 – 40 = 10, 60 – 50 = 10, 70 – 60 = 10, 80 – 70 = 10, 90 – 80 = 10
m = 10
Substitute m = 10 in general equation of a line
y = 10x + c
To find the constant term, substitute x = 0 and y = 40.
40 = 10(0) + c
40 = 0 + c
40 = c
c = 40
Therefore the equation of a line is y = 10x + 40.
Hence the equation that matches the given table is y = 10x + 40.
Answer: Refer to picture
Explanation: as the weeks go on, the number of sales increase. This means it has to be positively skewed, so graphs with the dots lower as it moves to the right can be knocked out
This leaves us with 2, since the rate of change in sales isn’t linear (22 -> 44 ->66) and is instead quicker at the start, it is not the straight graph, must be the curved one
Explanation: as the weeks go on, the number of sales increase. This means it has to be positively skewed, so graphs with the dots lower as it moves to the right can be knocked out
This leaves us with 2, since the rate of change in sales isn’t linear (22 -> 44 ->66) and is instead quicker at the start, it is not the straight graph, must be the curved one